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Two identical guitar strings are prepared such that they have the same length (1.78 m) and are under the same amount of tension. The first string is plucked at one location, primarily exciting the 5th harmonic. The other string is plucked in a different location, primarily exciting the 4th harmonic. The resulting sounds give rise to a beat frequency of 369 Hz. What is the wave propagation speed on the guitar strings?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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